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Finding the Fourth Proportional to 258,888, 357,274.08 and 158,266.56

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Solution

The fourth proportional to 258,888, 357,274.08 and 158,266.56 is: 218,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,888 : 357,274.08 = 158,266.56 : x
  2. Step 2: Convert to fraction form
    258,888/357,274.08 = 158,266.56/x
  3. Step 3: Cross multiply
    258,888x = 357,274.08 × 158,266.56
  4. Step 4: Simplify right side
    258,888x = 56,544,539,618.76
  5. Step 5: Solve for x
    x = 56,544,539,618.76/258,888
  6. Step 6: Final answer
    x = 218,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.